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lspia's Introduction

LSPIA

对LSPIA方法对实现。

该方法详细论述请看论文《Progressive and iterative approximation for least squares B-spline curve and surface fitting》.

注意事项

  1. 使用LSPIA拟合曲面及曲线时,需要数据点数量足够大。在初始测试时,我使用10个点拟合曲线,无法得到理想效果;使用20x20个点拟合曲面,误差十分大;
  2. 关于曲面拟合,论文中没有给出miu的定义,miu影响曲面拟合的速度,可自行根据数据进行调整;
  3. 初始点选择,对于初始点定义,可以按照文章中的方式间隔采样取点,也可以随机取点。我在测试时将所有数据点设为相同,仍能得到理想结果。初始点的定义只影响迭代的次数。

实验结果

  • LSIPIA拟合曲面

  • LSPIA拟合曲面

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